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May 6th, 2020
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  1. #include<bits/stdc++.h>
  2. #include <ext/pb_ds/tree_policy.hpp>
  3. #include <ext/pb_ds/assoc_container.hpp>
  4. using namespace std;
  5. using namespace __gnu_pbds;
  6.      
  7. #define mod 1000000007
  8.  /*
  9.     /\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/ *** Debugging Start *** \/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/
  10. */
  11. void __print(int x) {cerr << x;}
  12. void __print(long x) {cerr << x;}
  13. void __print(long long x) {cerr << x;}
  14. void __print(unsigned x) {cerr << x;}
  15. void __print(unsigned long x) {cerr << x;}
  16. void __print(unsigned long long x) {cerr << x;}
  17. void __print(float x) {cerr << x;}
  18. void __print(double x) {cerr << x;}
  19. void __print(long double x) {cerr << x;}
  20. void __print(char x) {cerr << '\'' << x << '\'';}
  21. void __print(const char *x) {cerr << '\"' << x << '\"';}
  22. void __print(const string &x) {cerr << '\"' << x << '\"';}
  23. void __print(bool x) {cerr << (x ? "true" : "false");}    
  24. template<typename T, typename V>
  25. void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}';}
  26. template<typename T>
  27. void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? "," : ""), __print(i); cerr << "}";}
  28. void _print() {cerr << "]\n";}
  29. template <typename T, typename... V>
  30. void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
  31. #ifndef ONLINE_JUDGE
  32. #define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
  33. #else
  34. #define debug(x...)
  35. #endif
  36. /*
  37.     /\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/ *** Debugging Ends *** \/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/
  38. */
  39. using namespace __gnu_pbds;
  40. template <typename T>
  41. using ordered_set = tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>;
  42.      
  43. /// Some frequent usable functions
  44. #define int                        long long
  45. void add(int &a,int b){a+=b;if(a>mod)a-=mod;}
  46. void sub(int &a,int b){a-=b;if(a<0)a+=mod;}
  47. void mul(int &a, int b) {a=1ll * a * b % mod;}
  48. template<typename T> T pow(T a,T b, long long m){T ans=1; while(b>0){ if(b%2==1) ans=(ans*a)%m; b/=2; a=(a*a)%m; } return ans%m; }
  49. int powmod(int a,int b)
  50. {int res = 1;while(b){if(b&1){res = (res * a)%mod;}b= b/2;a = (a*a)%mod;}return res;}
  51. int _ceil(int, int);
  52. int _floor(int a, int b) { return b < 0 ? _floor(-a, -b) : a < 0 ? -_ceil(-a, b) : a / b; }
  53. int _ceil(int a, int b) { return b < 0 ? _ceil(-a, -b) : a < 0 ? -_floor(-a, b) : (a + b - 1) / b; }
  54.      
  55. // int gcd(int a, int b, int &x, int &y) {if (a == 0) {x = 0; y = 1;return b;
  56. //     }int x1, y1;int d = gcd(b%a, a, x1, y1); x = y1 - (b / a) * x1;y = x1;return d;}
  57. // int find(int v){return v==parent[v]?v:parent[v] = find(parent[v]);}
  58. // void merge(int i,int j)
  59. //     {i = find(i);j = find(j);if(i == j)return;parent[parent[i]] = parent[j];cmp--;}
  60.      
  61. /*
  62.     /\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/ *** Directions in grids *** \/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/
  63. */
  64. // int dy[4] = {0,0,1,-1}, dx[4] = {1,-1,0,0}; // 4 Direction
  65. // int dx[] = {1,-1,0,0,1,1,-1,-1} , dy[] = {0,0,1,-1,1,-1,1,-1};  // 8 Direction
  66. // int dx[] = {1,-1,1,-1,2,2,-2,-2} , dy[] = {2,2,-2,-2,1,-1,1,-1};  // Knight moves
  67. // int dx[] = {2,-2,1,1,-1,-1} , dy[] = {0,0,1,-1,1,-1};  // Hexagonal Direction
  68. #pragma GCC target ("avx2")
  69. #pragma GCC optimization ("O3")
  70. #pragma GCC optimization ("unroll-loops")
  71. #define fast ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL)
  72. #define sp(a , x) cout << fixed << setprecision(a) << x << endl;
  73. #define endl "\n"
  74. #define pb push_back
  75. #define pf push_front
  76. #define ub upper_bound
  77. #define lb lower_bound
  78. #define F first
  79. #define S second
  80. #define mset(a, b) memset(a, b, sizeof a)
  81. #define sz(x) ((int)(x.size()))
  82. #define sqr(x) ((x) * (x))
  83. #define graph vector<int>
  84. #define vi vector<int>
  85. #define vvi vector<vector<int>>
  86. #define pi pair<int,int>
  87. #define all(c)                      c.begin() , c.end()
  88. #define rep(i,a) for(int i=0;i<a;i++)
  89. #define rrep(i,a,b) for(int i=a;i>=b;i--)
  90. #define iter(it,a) for(auto it=a.begin();it!=a.end();it++)
  91. #define PQP priority_queue<pi, vector<pi>, greater<pi>>
  92. #define PQI priority_queue<int, vector<int>, greater<int>>
  93. #define dbg debug
  94. #define inf (int)1e16
  95. const long double EPS = 0.0000000001;
  96. const long double PI = (acos(-1));
  97.  
  98.      
  99.   /// define some data.......
  100. const int N = (int)2e5+6;
  101.  
  102. struct box{
  103.   int h,l,w;
  104. };
  105.  
  106. void solve()
  107. {
  108.   int n;
  109.   cin >> n;
  110.   vi v(3*n);
  111.   rep(i,3*n)
  112.   {
  113.        cin >> v[i];
  114.   }
  115.  
  116.   vector<box>boxes;
  117.   for(int i=0;i<3*n;i+=3)
  118.   {
  119.     int h = v[i];
  120.     int w = v[i+1];
  121.     int l = v[i+2];
  122.    
  123.     boxes.push_back({h,l,w});
  124.     boxes.pb({l, max(h,w), min(h,w)});
  125.     boxes.pb({w, max(l,h), min(l,h)});
  126.  
  127.   }
  128.  
  129.   sort(all(boxes), [](const box &a, const box &b){
  130.  
  131.     return a.l * a.w > b.l * b.w;
  132.   });
  133.  
  134.   int m = sz(boxes);
  135.   vector<int>ans(sz(boxes));
  136.   rep(i,m)ans[i] = boxes[i].h;
  137.  
  138.  
  139.   for(int i=0;i<m;i++)
  140.   {
  141.  
  142.     for(int j=0;j<i;j++)
  143.     {
  144.       if(
  145.           boxes[j].l > boxes[i].l &&
  146.            boxes[j].w > boxes[i].w &&
  147.            ans[i] < ans[j] + boxes[i].h
  148.       )
  149.       {
  150.         ans[i] = ans[j] + boxes[i].h;
  151.       }
  152.     }
  153.   }
  154.  
  155.   int res = *max_element(all(ans));
  156.    cout<<res<<"\n";
  157.  
  158. }    
  159. int32_t main()
  160.   {
  161.      
  162.      fast;
  163.      int test =1;
  164.     cin >> test;
  165.      int tc=1;
  166.      while(test--)
  167.      {
  168.        //cout<<"Case "<<tc++<<":\n";
  169.         solve();
  170.        
  171.  
  172.      }    
  173.      
  174.   }
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